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X² -(1 + 2)x + 12 = 0Solve the quadratic equation. |
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Answer» Answer: x 2 − x − 12 = 0 We can Split the MIDDLE Term of this expression to FACTORISE it and thereby find solutions. In this TECHNIQUE, if we have to factorise an expression like ax2+bx+c , we need to think of 2 numbers such that: N1⋅N2=a⋅c=1⋅−12=−12 ANDN1+N2=b=−1 After trying out a few numbers we get N1=3 and N2=−4 3⋅−4=−12, and 3+(−4)=−1 x2−x−12=x2−4x+3x−12 x(x−4)+3(x−4)=0 (x+3)(x−4)=0 Now we EQUATE the factors to zero. x+3=0,x=−3 x−4=0,x=4 Step-by-step explanation: |
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